Global region of attraction of a periodic solution to a singularly perturbed parabolic problem in case of exchange of stability

We consider a singularly perturbed parabolic differential equation in case that the degenerate equation has two intersecting roots. In a previous paper we presented conditions under which there exists an asymptotically stable periodic solution satisfying no-flux boundary conditions. In this note we characterize a set of initial functions belonging to the global region of attraction of that periodic solution.

URI

https://doi.org/10.34657/2443
https://oa.tib.eu/renate/handle/123456789/2120

Citation

Butuzov, V. F., Nefedov, N. N., Recke, L., & Schneider, K. (2009). Global region of attraction of a periodic solution to a singularly perturbed parabolic problem in case of exchange of stability. Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik.

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